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Finding the Fourth Proportional to 403,525.50, 556,904.07 and 224,677.50

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Solution

The fourth proportional to 403,525.50, 556,904.07 and 224,677.50 is: 310,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,525.50 : 556,904.07 = 224,677.50 : x
  2. Step 2: Convert to fraction form
    403,525.50/556,904.07 = 224,677.50/x
  3. Step 3: Cross multiply
    403,525.50x = 556,904.07 × 224,677.50
  4. Step 4: Simplify right side
    403,525.50x = 125,123,814,187.43
  5. Step 5: Solve for x
    x = 125,123,814,187.43/403,525.50
  6. Step 6: Final answer
    x = 310,076.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.